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1887391290688 = 26374767253109
BaseRepresentation
bin11011011101110001010…
…010011001010101000000
320200102200112200201011121
4123131301102121111000
5221410334132300223
64003020001322024
7253234213161061
oct33356122312500
96612615621147
101887391290688
116684901a7872
12265957636314
13108c987652b7
14674c903c568
1534166d8415d
hex1b771499540

1887391290688 has 112 divisors (see below), whose sum is σ = 3987004919040. Its totient is φ = 885238142976.

The previous prime is 1887391290647. The next prime is 1887391290689. The reversal of 1887391290688 is 8860921937881.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1887391290689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7330278 + ... + 7583386.

Almost surely, 21887391290688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1887391290688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993502459520).

1887391290688 is an abundant number, since it is smaller than the sum of its proper divisors (2099613628352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1887391290688 is a wasteful number, since it uses less digits than its factorization.

1887391290688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253272 (or 253262 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 70.

The spelling of 1887391290688 in words is "one trillion, eight hundred eighty-seven billion, three hundred ninety-one million, two hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 37 47 64 67 74 94 134 148 188 268 296 376 536 592 752 1072 1184 1504 1739 2144 2368 2479 3008 3149 3478 4288 4958 6298 6956 9916 12596 13912 19832 25192 27824 39664 50384 55648 79328 100768 111296 116513 158656 201536 233026 253109 466052 506218 932104 1012436 1864208 2024872 3728416 4049744 7456832 8099488 9365033 11896123 16198976 16958303 18730066 23792246 33916606 37460132 47584492 67833212 74920264 95168984 135666424 149840528 190337968 271332848 299681056 380675936 440156551 542665696 599362112 627457211 761351872 797040241 880313102 1085331392 1254914422 1594080482 1760626204 2509828844 3188160964 3521252408 5019657688 6376321928 7042504816 10039315376 12752643856 14085009632 20078630752 25505287712 28170019264 29490488917 40157261504 51010575424 58980977834 117961955668 235923911336 471847822672 943695645344 1887391290688